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Finding the Fourth Proportional to 2,133.59, 2,944.25 and 1,189.48

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Solution

The fourth proportional to 2,133.59, 2,944.25 and 1,189.48 is: 1,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.59 : 2,944.25 = 1,189.48 : x
  2. Step 2: Convert to fraction form
    2,133.59/2,944.25 = 1,189.48/x
  3. Step 3: Cross multiply
    2,133.59x = 2,944.25 × 1,189.48
  4. Step 4: Simplify right side
    2,133.59x = 3,502,120.54
  5. Step 5: Solve for x
    x = 3,502,120.54/2,133.59
  6. Step 6: Final answer
    x = 1,641.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.